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Semiconductor Physics, Quantum Electronics & Optoelectronics. 2011. V. 14, N 2. P. 188-194.
Singular analysis of Jones-matrix images describing polycrystalline
networks of biological crystals in diagnostics of cholelithiasis
in its latent period
1Chernivtsi National University, Department for Optics and Spectroscopy,
2, Kotsyubinsky str., 58012 Chernivtsi, Ukraine.
Abstract.
Determined in this work are analytical interrelations between orientations of
optical axes and birefringence of biological crystals and characteristic values of Jones-
matrix elements corresponding to flat layers of polycrystalline networks, which set the
conditions providing formation of polarization singularities in laser images. Performed is
the complex statistical, correlation and fractal analysis of distributions for the amount of
characteristic values inherent to Jones-matrix elements corresponding to bile layers of
healthy and sick patients. Also, offered are the objective criteria for differentiation of
optical properties typical to polycrystalline networks of human bile in different
physiological states, and realized is the Jones-matrix diagnostics of cholelithiasis.
Keywords: laser, polarization, birefringence, Jones matrix, statistical moment,
autocorrelation, power spectrum, bile.
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